Tree Allometrics

Equations / Aboveground biomass

Croton magdalenensis AGB, DBH and height (13-year restoration plantation)

Aboveground biomassCroton magdalenensis · EuphorbiaceaeColombiaplantationRead from the original paper
Photo of Croton magdalenensis
© Xemenendura · CC BY-SA · iNaturalist
Equation

As printed (Table 7, equation 17)

AGB = 0.015 × (D^2 × H)^1.059

In this library's units, ready to compute (kg)

Aboveground biomass = 1.043 * exp(-4.245 + 1.059*ln(D^2*H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Table 7 prints the linear form as ln(B), meaning AGB. Table 7 gives the final equation with the correction factor e^(RSE^2/2) folded into the coefficient a; here the published form is written from the linear expression in Table 7 with the printed correction factor applied, which agrees with the printed a. Dry mass in kg, D in cm, WD in g/cm3. Trees harvested 2022-2023 in 13-year-old plantations; AGB sums leaves, twigs, branches and trunk. Ranges are for the sampled trees (Table 2). RSE is as printed in Table 5/6.

Source
ln(B) = −4.245 + 1.059 ln(D² × H)
Equation · Table 7, equation 17 (linear expression)
e^(RSE²/2) = 1.043
Correction factor · Table 7, equation 17
23
Trees measured · Table 7 / Table 2
Trees measured
23
DBH range
6.85–32.45 cm
Height range
8.4–15.9 m
R²
0.919
Residual SE
0.302
Correction factor
1.043 (applied)
Method
ln-ln linear regression (R 4.3.2), back-transformed with e^(RSE^2/2)
Where
Más Bosques para Medellín mixed restoration plantations, Aburrá valley, Medellín
Last checked
2026-11-02
Calculate
Height from
11.06
Aboveground biomass (kg)
5.199
Carbon (kg), ×0.47
19.06
CO₂e (kg), ×44/12

Outside the data this model was fitted on: height below the fitted 8.4 m. Results may be unreliable.

Fitted DBH range050100150200250300350510152025303540DBH (cm)Aboveground biomass (kg)Aboveground biomass

Shaded: the DBH range the model was fitted on. Other inputs held at the values above.

Checks this equation passes

On every build, the library's form and the paper's own form (in its units) must both give these values within 1%.

InputsExpectedWe getFrom
D = 8, H = 811.111.1Computed from the printed form
computed from the published form (linear expression with printed correction factor)
D = 15, H = 1264.364.3Computed from the printed form
computed from the published form (linear expression with printed correction factor)
D = 25, H = 16257.5257.5Computed from the printed form
computed from the published form (linear expression with printed correction factor)

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